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Who put forward the game theory?
..... The above answer is too long, now give a short one. First of all, game theory was not put forward by Nash, although he won the Nobel Prize in Economics for it. Then it john von neumann (Hungarian-born American mathematician, inventor of computer and game theory, 1903- 1957) and oskar morgenstern Morgenstein, an economist at Princeton University, presented their research reports on game theory and game theory in economic behavior in 1944. The founder of game theory is von Neumann. References:

Prisoner's Dilemma: Von Neumann, Game Theory and the Mystery of the Atomic Bomb, published by beijing institute of technology press.